Sigourney Weaver's average rate going uphill was 80% of her average rate going downhill over the same route, and it took Sigourney Weaver 10 minutes longer to go up the hill than to go down the hill. What was the total number of minutes Sigourney Weaver spent going uphill and downhill?

Uphill time = T1

Downhill time = T2 = 0.8 T1

T1 - T2 = 0.2 T1 = 10 min

T1 = 50 min
T2 = 4/5 T1 = 40 min
Total time = T1 + T2